MA3513  Elementary
Numerical Methods
Topics:

Floating point arithmetics.

Nolinear equations.

Polynomial and spline interpolations.

Numerical integration.
 Fast Fourier Transform.

Linear system of equations.
 QR factorization and least squares problem.
 Matrix eigenvalue problem.
 RungeKutta methods.
Reference books:
We do not have a textbook. Brief lecture notes will be
distributed in class.
You can also download the lecture notes
(which may be not updated) at the hyperlink below.
Some useful reference
books are:
 Numerical Methods: design, analysis and computer
implementation of algorithms, by A. Greenbaum and
T. P. Chartier.
 Introduction to Scientific Computing, by C. F. Van Loan.

Afternotes on Numerical Analysis, by G. W. Stewart.

Fundamentals of Numerical Computing, by L.F. Shampine, R.C.
Allen and S. Pruess;

Numerical Mathematics and Computing, by W. Cheney and D. Kincaid;

An Introduction to C++ and Numerical Methods, by J.M. Ortega
and A.S. Grimshaw.

Numerical analysis: mathematics of scientific computing, by
D. Kincaid and W. Cheney.
Requirements:
Your final grade will be calculated from the following components:
 Final Exam  70%,
 Midsemester test  12%,
 Marked homework assignments and exercises in tutorial classes  18%.
Assignments:

Assignment
No. 1 . Due date: Sept. 25, 2012.

Assignment
No. 2 . Due date: Oct. 9, 2012.

Assignment
No. 3 .

Assignment
No. 4 .

Assignment
No. 5 . Due date: Nov. 8, 2012.

Assignment
No. 6 . Due date: Nov. 15, 2012.

Assignment
No. 7 . Due date: Nov. 22, 2012.

Assignment
No. 8 . Due date: Nov. 28, 2012.
Old exam papers:
Useful Links for MATLAB: